Home / 1,407.29-2,106.18-1,078.70

Finding the Fourth Proportional to 1,407.29, 2,106.18 and 1,078.70

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Solution

The fourth proportional to 1,407.29, 2,106.18 and 1,078.70 is: 1,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.29 : 2,106.18 = 1,078.70 : x
  2. Step 2: Convert to fraction form
    1,407.29/2,106.18 = 1,078.70/x
  3. Step 3: Cross multiply
    1,407.29x = 2,106.18 × 1,078.70
  4. Step 4: Simplify right side
    1,407.29x = 2,271,925.84
  5. Step 5: Solve for x
    x = 2,271,925.84/1,407.29
  6. Step 6: Final answer
    x = 1,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.